التفاصيل البيبلوغرافية
| العنوان: |
On the bifurcation of solutions to Marguerre-von Kármán equations. |
| المؤلفون: |
Bendob, Tourkia1 tourkiabd@gmail.com, Ghezal, Abderrezak1 ghezal.ark@gmail.com |
| المصدر: |
Journal of Analysis & Its Applications / Zeitschrift für Analysis & ihre Anwendungen. 2023, Vol. 42 Issue 3/4, p331-358. 28p. |
| مصطلحات موضوعية: |
*VON Karman equations, *NEIGHBORHOOD characteristics, *OPERATOR equations, *EXISTENCE theorems, *EQUATIONS, *MONOTONE operators, *VON Neumann algebras |
| مستخلص: |
The objective of this work is to study the bifurcation of solutions of the Marguerre- von Kármán equations, which constitute a mathematical model for the buckling of Marguerre-von Kármán shallow shells. More precisely, we reduce the Marguerre-von Kármán equations to a single equation with a cubic operator; its second member depends on the function that defines the middle surface of the shallow shell and the applied forces. Next, we prove a general existence theorem for the reduced equation, by using the main theorem on pseudomonotone operators. Then we study the bifurcation of solutions in the reduced equation, with a second member, is small, at neighborhood of the simple characteristic value of the linearized problem. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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